Publisher's Synopsis
Excerpt from The Ground-Work of Number: A Manual for the Use of Primary Teachers
Relation is to us such a familiar fact that we are apt to forget that it involves all the mystery, if it be a mystery, of the existence of the many in one A plurality of things cannot of themselves unite 1n one relation, nor can a single thing of itself bring itself into a multitude of relations. It is true, as we have said, that the single things are nothing except as determined by relat1ons which are the negation of their singleness, but they do not therefore cease to be single things. Their common being is not something with which their several existences disappear. On the contrary, if they did not survive in their singleness, there could be no relation between them, nothing but a blank, featureless, identity. There must, then, be something other than the mamfold things themselves, which combines them without effacing their severalty. With such a combining agency we are familiar as our intelligence. It is through it that the sensation of the present moment takes a character from comparison with the sensation of a moment ago, and that the occurrence, consisting in the transition from one to the other, is presented to us. It is essential. That one should not be fused with the other that the distinct being of each should be maintained. On the other hand, in the relation to which their distinctness is thus necessary, they are at the same time united. But if it were not for the action of something which is not either of them or both together, there would be no alternative between their separateness and their fusion.
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